“Poisson” models of random fields with applications in transport theory

G. A. Mikhailov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090 Russia

Abstract: A comparative analysis of various models of exponentially correlated random fields associated with Poisson point ensembles is given. Algorithms for the modeling of radiative transfer in random media of this type are considered. An asymptotic estimate for the particle passage probability is constructed assuming that the flow of trajectory intersections with domains of constant random density is Poisson distributed.

Key words: Poisson ensemble, piecewise constant random field, correlation function, maximum cross section method, renewal equation.

UDC: 519.676

Received: 24.05.2011

 English version: Computational Mathematics and Mathematical Physics, 2012, 52:1, 137–145

Bibliographic databases:

• 
• 
• 
• 
• 
• 
•